Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[1]

Write down an expression, in terms of $h$, for the perimeter of the hexagon.

(b(i))[1]

Write down an expression, in terms of $x$, for the square's perimeter.

(b(ii))[1]

Write down an expression, in terms of $x$, for the square's area.

(c)[5]

Work out the value of $x$ in this case.

(d)[2]

Simplify the expression $5a + 4b - 2a - b + 3a - 2b$.

(e(i))[1]

Multiply out the brackets in $5(x-4)$.

(e(ii))[2]

Multiply out the brackets in $x(x^2+3)$.

(f)[2]

Factorise $8x^2 - 4x$ completely.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: The expression is $6h$.

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